10 Coins Puzzle

Puzzle:

You are blindfolded and 10 coins are placed in front of you on the table. You are allowed to touch the coins but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which.
Can you make two piles of coins each with the same number of heads up? You can flip the coins any number of times.

Solution: Yes
Make 2 piles with the equal number of coins. Now, flip all the coins in one of the pile.
How this will work? let’s take an example.
So initially there are 5 heads, so suppose you divide it into 2 piles.
Case 1:
P1: H H T T T
P2: H H H T T
Now when P1 will be flipped
P1: T T H H H
P1(Heads) = P2(Heads)
Case 2:
P1: H T T T T
P2: H H H H T
Now when P1 will be flipped
P1: H H H H T
P1(Heads) = P2(Heads) // number of heads up in P1 = P2 = 4
Case 3:
P1 = HHHHH
P2 = TTTTT
Now when P1 will be flipped
P1: T T T T T
P1(Heads) = P2(Heads) // number of heads up in P1 = P2 = 0
Case 4:
P1 = THHTT
P2 = HTHTH
Now when P1 will be flipped
P1: HTTHH
P1(Heads) = P2(Heads) // number of heads up in P1 = P2 = 3